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Finding the Fourth Proportional to 3,708.98, 5,120.24 and 2,867.78

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Solution

The fourth proportional to 3,708.98, 5,120.24 and 2,867.78 is: 3,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.98 : 5,120.24 = 2,867.78 : x
  2. Step 2: Convert to fraction form
    3,708.98/5,120.24 = 2,867.78/x
  3. Step 3: Cross multiply
    3,708.98x = 5,120.24 × 2,867.78
  4. Step 4: Simplify right side
    3,708.98x = 14,683,721.87
  5. Step 5: Solve for x
    x = 14,683,721.87/3,708.98
  6. Step 6: Final answer
    x = 3,958.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.